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Problem 1. (20 points) You had an engineering internship offer for the summer, but your shady second cousin (also a UT CAEE student) convinces you to join their startup. The pitch is to provide online, app- based tutoring services to future CE 3118 students, under the company name Knowledgeable Statisticians. You are getting ready to make a pitch on Shark Tank, a reality TV show where entrepreneurs present their idea to a panel of investors, who decide whether or not to provide funding to get the company started. To prepare for your pitch, you gather data based on a trial version of your app among your friends. You record how many hours they used the app, and what their engineering GPA is, obtaining the following data: Friend Hours used Engineering GPA Aisha 5 3.1 Britney 8 2.8 Chulsoo 4 3.0 Darnell 7 3.4 Eduardo 10 3.2 (a) (5) What is the best-t linear regression line relating GPA to the hours spent on the app? (b) (5) What is the R2 value? (c) (5) Based on this data, What is the probability that someone using the app for 10 hours has a GPA greater than 3.0? (d) (5) Using a = 0.05, perform a hypothesis test to determine Whether your app has an effect on a student's GPA. Explain your conclusion in real-world terms